Q: What are the factor combinations of the number 644,022,625?

 A:
Positive:   1 x 6440226255 x 12880452525 x 25760905125 x 5152181
Negative: -1 x -644022625-5 x -128804525-25 x -25760905-125 x -5152181


How do I find the factor combinations of the number 644,022,625?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 644,022,625, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 644,022,625
-1 -644,022,625

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 644,022,625.

Example:
1 x 644,022,625 = 644,022,625
and
-1 x -644,022,625 = 644,022,625
Notice both answers equal 644,022,625

With that explanation out of the way, let's continue. Next, we take the number 644,022,625 and divide it by 2:

644,022,625 ÷ 2 = 322,011,312.5

If the quotient is a whole number, then 2 and 322,011,312.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 644,022,625
-1 -644,022,625

Now, we try dividing 644,022,625 by 3:

644,022,625 ÷ 3 = 214,674,208.3333

If the quotient is a whole number, then 3 and 214,674,208.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 644,022,625
-1 -644,022,625

Let's try dividing by 4:

644,022,625 ÷ 4 = 161,005,656.25

If the quotient is a whole number, then 4 and 161,005,656.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 644,022,625
-1 644,022,625
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

15251255,152,18125,760,905128,804,525644,022,625
-1-5-25-125-5,152,181-25,760,905-128,804,525-644,022,625

More Examples

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